Decomposability of Finite Rank Operators in Lie Ideals of Nest Algebras

作者：Chen, Chaoqun; Lu, Fangyan^*

来源：Integral Equations and Operator Theory, 2015, 81(3): 427-434.

DOI：10.1007/s00020-014-2171-8

• Decomposability
• Lie ideal
• Nest algebra
• Rank one operator

A set of operators is said to be decomposable if each finite rank operator in it can be written as a sum of finitely many rank-1 operators in it. In this note, we establish a sufficient and necessary condition on the nest such that each closed Lie ideal in the associated nest algebra is decomposable.

• 出版日期2015-3
• 单位苏州大学